Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation
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Publication:2143533
DOI10.1016/j.rinam.2022.100264OpenAlexW4226101069MaRDI QIDQ2143533
Yang Liu, Hong Li, Cao Wen, Jiarui Wang
Publication date: 31 May 2022
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.rinam.2022.100264
finite element methodCrank-Nicolson schemenumerical simulationsWSGI formulatwo-dimensional nonlinear fourth-order fractional wave equation
Mechanics of deformable solids (74-XX) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fluid mechanics (76-XX)
Related Items (4)
Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation ⋮ Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation ⋮ Time difference physics-informed neural network for fractional water wave models ⋮ Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay
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